On a Theorem of Newsom
نویسنده
چکیده
/ °° r _ sin kirx JL g(— m) g(x){± & — dx E ~ + *(*, 0, -Zl /2 Sill WX m =0 Z m i — dxE -Z—1/2 Sill TX m =0 where / is any positive integer, where the symbol [ ± s ] * means z or { — z) according as k is odd or even, respectively, and where if |arg [ + z]I <7T, we have l i m ^ i ^ ^ ^ ^ , /) = 0 for every value of /. In the present paper we shall consider the situation when conditions (a) and (b) are made somewhat less restrictive. The theorem which we wish to prove is as follows:
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